若(x+y)2=17,(x-y)2=3,则x2-xy+y2=______

若(x+y)2=17,(x-y)2=3,则x2-xy+y2=______.
2025-06-27 00:46:41
推荐回答(1个)
回答1:

∵(x+y)2=17,(x-y)2=3,
∴x2+2xy+y2=17,x2-2xy+y2=3,
两式相加,得x2+y2=10,则xy=

7
2

所以,x2-xy+y2=10-
7
2
=
13
2

故答案为:
13
2